MathCastle
Grade 6SuperchallengeAbsolute Value

Absolute Value · Superchallenge problem

Four houses stand along a straight street at the points −9-9, −2-2, 33 and 1010. A mailbox will be put at an integer point PP so that the total of the distances from PP to the four houses is as small as possible. How many different integer points PP give that smallest total?